n] be an n-dimensional differentiable manifold endowed with a (1,1) tensor field [phi], a contravariant vector field [xi], a covariant vector field [eta] and a Lorentzian metric g of type (0, 2) such that for each point p [member of] M, the tensor [g.

n] is a Lorentzian Para-Sasakian manifolds(briefly LP-Sasakian manifolds) if it admits a (1,1) tensor field [phi], contravariant vector field [xi], a covariant vector field [eta], and a Lorentzian metric g, which satisfy

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